This paper considers the problem of modelling the energy behaviour of lock-free concurrent queue data structures. Our main contribution is a way to model the energy behaviour of lock-free queue implementations and parallel applications that use them. Focusing on steady state behaviour we decompose energy behaviour into throughput and power dissipation which can be modeled separately and later recombined into several useful metrics, such as energy per operation. Based on our models, instantiated from synthetic benchmark data, and using only a small amount of additional application specific information, energy and throughput predictions can be made for parallel applications that use the respective data structure implementation. To model throughput we propose a generic model forlock-free queue throughput behaviour, based on combination of the dequeuers' throughput and enqueuers' throughput. To model power dissipation we commonly split the contributions from the various computer components into static, activation and dynamic parts, where only the dynamic part depends on the actual instructions being executed. To instantiate the models a synthetic benchmark explores each queue implementation over the dimensions of processor frequency and number of threads. Finally, we show how to make predictions of application throughput and power dissipation for a parallel application using lock-free queue requiring only a limited amount of information about the application work done between queue operations. Our case study on a Mandelbrot application shows convincing prediction results.